Newton's Law of Universal Gravitation Formula |
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\( F_g \;=\; G \cdot \dfrac{ m_1 \cdot m_2 }{ r^2 } \) (Newton's Law of Universal Gravitation) \( m_1 \;=\; \dfrac{ F_g \cdot r^2 }{ G \cdot m_2 }\) \( m_2 \;=\; \dfrac{ F_g \cdot r^2 }{ G \cdot m_1 }\) \( r \;=\; \sqrt{ \dfrac{ G }{ F_g } \cdot m_1 \cdot m_2 } \) |
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| Symbol | English | Metric |
| \( F_g \) = Gravitational Force | \(ft \;/\; sec^2\) | \(m \;/\; s^2\) |
| \( G \) = Universal Gravitational Constant | \(lbf-ft^2 \;/\; lbm^2\) | \(N - m^2 \;/\; kg^2\) |
| \( m_1 \) = Mass of Object 1 | \( lbm \) | \( kg \) |
| \( m_2 \) = Mass of Object 2 | \( lbm \) | \( kg \) |
| \( r \) = Distance Between Centers of Masses | \( ft \) | \( m \) |
Newton's law of universal gravitation states that every particle in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. This law explains the force of gravity between any two objects in the universe, regardless of their size, shape, or location. It is the basis for our understanding of the motion of planets, stars, and other celestial bodies in the universe. This law is one of the fundamental laws of physics and has been validated by numerous experiments and observations. It is a cornerstone of classical mechanics and played a crucial role in the development of modern astronomy and astrophysics.
